451234805280 has 768 divisors, whose sum is σ = 1759130763264. Its totient is φ = 94887936000.

The previous prime is 451234805261. The next prime is 451234805293. The reversal of 451234805280 is 82508432154.

It is a super-2 number, since 2×451234805280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 600844905 + ... + 600845655.

It is an arithmetic number, because the mean of its divisors is an integer number (2290534848).

Almost surely, 2^451234805280 is an apocalyptic number.

451234805280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451234805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879565381632).

451234805280 is an abundant number, since it is smaller than the sum of its proper divisors (1307895957984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

451234805280 is a wasteful number, since it uses less digits than its factorization.

451234805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 451234805280 in words is "four hundred fifty-one billion, two hundred thirty-four million, eight hundred five thousand, two hundred eighty".